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Question

Difficulty: MediumNumber and Alphabet Series

Which of the following alphanumeric terms logically completes the given series: B7Z,E14W,J23T,Q34Q,…B7Z, E14W, J23T, Q34Q, \dots?

  1. Z47NZ47NAnswer
  2. B
    Y47NY47N
  3. C
    Z45NZ45N
  4. D
    Z47MZ47M

Answer

Z47NZ47N
Each character position follows a distinct rule: the first letters (B,E,J,QB, E, J, Q) advance by +3,+5,+7,+9+3, +5, +7, +9 to reach ZZ; the middle numbers (7,14,23,347, 14, 23, 34) advance by +7,+9,+11,+13+7, +9, +11, +13 to reach 4747; and the last letters (Z,W,T,QZ, W, T, Q) step backward by 33 positions each time to reach NN. Combining these produces the correct completed term Z47NZ47N.

Step-by-Step Solution

1
Analyze the first letter in each term
The positional values of the first letters are B=2,E=5,J=10,Q=17B=2, E=5, J=10, Q=17. The differences between consecutive letters are +3,+5,+7+3, +5, +7. Following this pattern, the next increment is +9+9, so 17+9=2617 + 9 = 26, which corresponds to ZZ.
The difference between consecutive first-letter positions increases by +2+2 at each step.
2
Analyze the middle number in each term
The numbers are 7,14,23,347, 14, 23, 34. The differences are 14−7=714 - 7 = 7, 23−14=923 - 14 = 9, and 34−23=1134 - 23 = 11. The next difference must be +13+13, so 34+13=4734 + 13 = 47.
The numerical pattern follows an increasing sequence of odd numbers starting from 77.
3
Analyze the last letter in each term
The positional values of the last letters are Z=26,W=23,T=20,Q=17Z=26, W=23, T=20, Q=17. The pattern is a constant decrease of 33 positions (26→23→20→1726 \rightarrow 23 \rightarrow 20 \rightarrow 17). The next position is 17−3=1417 - 3 = 14, which corresponds to NN.
A uniform reverse shift of 33 units is applied to the final letter of each term.
4
Combine all three components
Merging the first letter (ZZ), middle number (4747), and last letter (NN) yields the term Z47NZ47N.
All three sub-patterns operate independently to define the next term in the series.

Key Concept

Multi-Pattern Alphanumeric Series Completion
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Topics

Number and Alphabet Series

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